The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 8.3%How many hours does it take for the size of the sample to double?Note: This is a continuous exponential growth model.Do not round any intermediate computations, and round your answer to the nearest hundredth.​

It takes 8.35 hours for the size of the sample to doubleStep-by-step explanation:The form of the continuous exponential growth model is [tex]A=Pe^{rt}[/tex] , whereA is the new valueP is the initial valuer is the rate of growth or decay  in decimalt is the time ∵ The growth rate is 8.3%∴ r = 8.3 ÷ 100 = 0.083∵ The size of the sample will doubled in t hours∴ A = 2 PUse the formula of the contentious exponential growth above∵ [tex]2P=Pe^{0.083t}[/tex]- Divide both sides by P∴ [tex]2=e^{0.083t}[/tex]- Insert ㏑ in both sides∴ [tex]ln(2)=ln(e^{0.083t})[/tex]- Remember [tex]ln(e^{n})=n[/tex] because ㏑(e) = 1∴ [tex]ln(2)=0.083t[/tex]- Divide both sides by 0.083∴ [tex]\frac{ln(2)}{0.083}=t[/tex]∴ t = 8.35 hours to the nearest hundredthIt takes 8.35 hours for the size of the sample to doubleLearn more:You can learn more about the logarithmic function in brainly.com/question/1447265#LearnwithBrainly